Question

От двух пристаней навстречу друг другу одновременно вышли теплоход и катер. Теплоход двигался со скоростью 33 км/ч и прошел до встречи 99км. Скорость катера - 25 км/ч. Найди расстояние между городами.

Answer 1

99:33=3(ч)- ездили они 25*3=75(км)-проехал катер 99+75=174(км)-расстояние между ними Ответ: 174 расстояние между городами

Answer 2

Problem Analysis

We are given that a ship and a boat set off from two different ports towards each other simultaneously. The ship has a speed of 33 km/h and travels a distance of 99 km before they meet. The boat has a speed of 25 km/h. We need to find the distance between the two cities.

Solution

Let's assume the distance between the two cities is d km.

When the ship and the boat meet, the total distance traveled by both of them is equal to the distance between the two cities:

Distance traveled by the ship + Distance traveled by the boat = Distance between the cities

The ship travels at a speed of 33 km/h and covers a distance of 99 km, so the time taken by the ship to cover this distance is:

Time taken by the ship = Distance traveled by the ship / Speed of the ship = 99 km / 33 km/h = 3 hours

Similarly, the boat travels at a speed of 25 km/h, so the time taken by the boat to cover the same distance is:

Time taken by the boat = Distance traveled by the boat / Speed of the boat = 99 km / 25 km/h = 3.96 hours

Since both the ship and the boat started at the same time, they must have traveled for the same amount of time. However, the boat took slightly longer due to its slower speed. This discrepancy can be explained by the fact that the boat had to cover a longer distance to reach the meeting point.

Now, we can set up an equation to find the distance between the two cities:

Distance traveled by the ship + Distance traveled by the boat = Distance between the cities

99 km + Distance traveled by the boat = d km

We know that the time taken by the boat is 3.96 hours, so we can calculate the distance traveled by the boat using the formula:

Distance traveled by the boat = Speed of the boat * Time taken by the boat = 25 km/h * 3.96 hours = 99 km

Substituting this value into the equation, we get:

99 km + 99 km = d km

Simplifying, we find:

198 km = d km

Therefore, the distance between the two cities is 198 km.

Answer

The distance between the two cities is 198 km.